110100100017001 has 2 divisors, whose sum is σ = 110100100017002. Its totient is φ = 110100100017000.

The previous prime is 110100100016999. The next prime is 110100100017101. The reversal of 110100100017001 is 100710001001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109999087922025 + 101012094976 = 10488045^2 + 317824^2 .

It is an emirp because it is prime and its reverse (100710001001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110100100017001 - 2¹ = 110100100016999 is a prime.

Together with 110100100016999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110100100017101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050008500 + 55050050008501.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050008501).

Almost surely, 2^{110100100017001} is an apocalyptic number.

It is an amenable number.

110100100017001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100100017001 is an equidigital number, since it uses as much as digits as its factorization.

110100100017001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 110100100017001 its reverse (100710001001011), we get a palindrome (210810101018012).

The spelling of 110100100017001 in words is "one hundred ten trillion, one hundred billion, one hundred million, seventeen thousand, one".